# Arithmetic Problems with Solutions for Competitive Exams SSC CGL

**Arithmetic Problems with Solutions for Competitive Exams**: Hi students Arithmetic are the most important topic in the SSC CGL Prelims written the examination. Combined Graduate Level Tier 1 Exam Starts from the 1

^{st}August to 20

^{th}August 2017. Total 50 marks from these Arithmetic Sections. 0.5 negative mark for each wrong answer. Below we give some of the previous years asked questions in the Staff Selection Commission CGL Tier 1 Exams.

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**Arithmetic Problems with Solutions for Competitive Exams**

**1. Two trains are running at 40 km/h and 20 km/h respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the faster train?**

A. 23m

B. 23 2/9m

C. 27m

D. 27 7/9m

E. 30 m

**2. A and B run towards each other starting from P and Q respectively with respective speeds 3 kmph and 7 kmph. After meeting, each other to reach P, if B takes x hours. A takes 100/x hours to reach Q, find the distance between P and Q.**

A. 50 km

B. 120 km

C. 130 km

D. 100 km

E. none of above

**3. Four examiners can examine a certain number of answer papers in 10 days by working for five hours a day. For how many hours in a day would two examiners have to work in order to examine twice the number of answer papers in 20 days?**

A. 8 hours

B. 71/2 hours

C. 10 hours

D. 81/2 hours

E. 9 hours

**4. If a man cycles at 10 km/hr, then he arrives at a certain place at 1 pm. If he cycles at 15 km/hr, he will arrive at the same place at 11 am. At what speed, must the cycle to get there at noon?**

A. 11 km/hr

B. 12 km/hr

C. 13 km/hr

D. 14 km/hr

E. 18km/hr

**5. Two men can do a piece of work in x days. But y women can do it in 3 days. Then the ratio of the work done by 1 man and 1 woman is:**

A. 3y: 2x

B. 2x: 3y

C. x: y

D. 2y: 3x

E. 4x:3y

**6. The product of two relatively prime numbers is 143. Find their HCF.**

A. 3

B. 9

C. 13

D. 1

E.7

**7. Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?**

A. 27

B. 36

C. 43

D. 480

E.520

**8. A, B, C are running clockwise around a circular track and their time periods to run a circle are 1min, 3min, and 5min respectively. Find the time interval after which they meet for the first time at the starting point.**

A. 9 min

B. 20 min

C. 10 min

D. 12 min

E. 15 min

**9. An artillery gun is fired twice at an interval of 25 seconds. A motorist moving towards the gun hears the gunfire at an interval 24 seconds. If the speed of sound is 336m/s what is the speed of the car?**

A. 21 m/s

B. 13.44 m/s

C. 16 m/s

D. 14 m/s

E. 15m/s

**10. B and C together can complete a work in 8 days, A and B together can complete the same work in 12 days, and A and C together can complete the same work in 16 days. In, how many days can A, B and C together complete the same work?**

A. 39/13

B. 96/13

C. 75/12

D. 35/12

E. 48/13

Arithmetic Problems with Solutions for Competitive Exams SSC CGL
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